%0 Journal Article
%@ 0022-0833
%A Carpinteri, Alberto
%A Paggi, Marco
%D 2008
%F eprints:1967
%I Springer
%J Journal of Engineering Mathematics
%K Analytical approach; Functionally graded materials; Multi-layered beams; Thermo-elasticity; Thermo-elastic mismatch
%N 2-4
%P 371-384
%T Thermo-elastic mismatch in nonhomogeneous beams
%U http://eprints.imtlucca.it/1967/
%V 61
%X The problem of thermo-elastic stress analysis in multi-layered nonhomogeneous beams is considered. The proposed analytical approach based on the multi-layered beam theory permits to take into account an arbitrary distribution of the Young’s modulus, of the thermal-expansion coefficient, and of the temperature variation along the beam depth. The effect of shear deformability of the interfaces is also carefully analyzed. Useful closed-form solutions for the normal stresses in the layers and for the interface tangential stresses are provided in the case of nonhomogeneous bi- and tri-layered beams. The obtained results show the effectiveness of using functionally graded materials to relieve stress-concentrations due to the thermo-elastic mismatch typical of laminated beams with homogeneous layers.